Coherence measures based on sandwiched Rényi relative entropy

doi:10.1088/1674-1056/ab5930

中国物理B ›› 2020, Vol. 29 ›› Issue (1): 10301-010301.doi: 10.1088/1674-1056/ab5930

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 下一篇

Coherence measures based on sandwiched Rényi relative entropy

Jianwei Xu(胥建卫)

College of Science, Northwest A&F University, Yangling 712100, China

收稿日期:2019-07-19 修回日期:2019-11-20 出版日期:2020-01-05 发布日期:2020-01-05
通讯作者: Jianwei Xu E-mail:xxujianwei@nwafu.edu.cn
基金资助:
Project supported by the China Scholarship Council (Grant No. 201806305050).

Coherence measures based on sandwiched Rényi relative entropy

Jianwei Xu(胥建卫)

College of Science, Northwest A&F University, Yangling 712100, China

Received:2019-07-19 Revised:2019-11-20 Online:2020-01-05 Published:2020-01-05
Contact: Jianwei Xu E-mail:xxujianwei@nwafu.edu.cn
Supported by:
Project supported by the China Scholarship Council (Grant No. 201806305050).

摘要/Abstract

摘要： Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory. Baumgratz, Cramer and Plenio established a rigorous framework (BCP framework) for quantifying coherence[Baumgratz T, Cramer M and Plenio M B Phys. Rev. Lett. 113 140401 (2014)]. In the present paper, under the BCP framework we provide two classes of coherence measures based on the sandwiched Rényi relative entropy. We also prove that we cannot get a new coherence measure f(C(·)) by a function f acting on a given coherence measure C.

关键词: quantum coherence, coherence measure, sandwiched Rényi relative entropy

Abstract: Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory. Baumgratz, Cramer and Plenio established a rigorous framework (BCP framework) for quantifying coherence[Baumgratz T, Cramer M and Plenio M B Phys. Rev. Lett. 113 140401 (2014)]. In the present paper, under the BCP framework we provide two classes of coherence measures based on the sandwiched Rényi relative entropy. We also prove that we cannot get a new coherence measure f(C(·)) by a function f acting on a given coherence measure C.

Key words: quantum coherence, coherence measure, sandwiched Rényi relative entropy

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.65.Aa (Quantum systems with finite Hilbert space)

胥建卫. Coherence measures based on sandwiched Rényi relative entropy[J]. 中国物理B, 2020, 29(1): 10301-010301.

Jianwei Xu(胥建卫). Coherence measures based on sandwiched Rényi relative entropy[J]. Chin. Phys. B, 2020, 29(1): 10301-010301.

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Coherence measures based on sandwiched Rényi relative entropy

Coherence measures based on sandwiched Rényi relative entropy

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